Answer:
Step-by-step explanation:
Let x represent the sun's angle of elevation.
We have been given that a 6-foot tall man casts a shadow that is 12 feet long.
Upon looking at our attachment we can see that man and his shadow forma a right triangle with respect to ground, where height of man is opposite side and his shadow is adjacent side.
Since tangent relates opposite side of a right triangle with adjacent, so we can set an equation as:



Using arctan we will get,


Therefore, the measure of the sun's angle of elevation is 27 degrees.
Answer:
Step-by-step explanation:
try https://www.mathpapa.com/calc.html?q=y%3D2x+1 for faster answers next time
Answer:
5x + 4y = - 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
4x - 5y = 20 ( subtract 4x from both sides )
- 5y = - 4x + 20 ( divide all terms by - 5 )
y =
x - 4 ← in slope- intercept form
with slope m = 
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= -
, thus
y = -
x + c ← is the partial equation
To find c substitute (- 4, 3) into the partial equation
3 = 5 + c ⇒ c = 3 - 5 = - 2
y = -
x - 2 ← in slope- intercept form
Multiply through by 4
4y = - 5x - 8 ( add 5x to both sides )
5x + 4y = - 8 ← equation in standard form

The answer is....
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Hopefully,, this helps you!!
